Problem Solving in Geometry with Proportions8.2

25

x 245

x

23

x 3x

Problem Solving in Geometry with Proportions8.2

Chapter 8SimilaritySection 8.2

Problem Solving in Geometry With Proportions

Problem Solving in Geometry with Proportions8.2

Example: 4 is the geometric mean between 2 and 8

84

42

Problem Solving in Geometry with Proportions8.2

Example

3 9

5 15

3 9

5 15

Example155

93

15159

553

The Ratio of the tops = The ratio of the bottom

It’s OK to add the bottom to the top on each side

Problem Solving in Geometry with Proportions8.2

58

8q

813

885

qqp

Problem Solving in Geometry with Proportions8.2

True: Reciprocal Property

False

True: Ratio of Bottoms = Ratio of Tops

False

Problem Solving in Geometry with Proportions8.2

10x

x6

x2 = 60

60x

)15(4x

152x

12x

x8

x2 = 96

96x

)6(16x

64x

152 64

24x

x5

x2 = 120

120x

)30(4x

302x

302

Problem Solving in Geometry with Proportions8.2

15x

x10

x2 = 150

150x

)6(25x

65x

16x

x12

x2 = 192

192x

)3(64x

38x

65 38

24x

x20

x2 = 480

480x

)30(16x

304x

304

Problem Solving in Geometry with Proportions8.2

Fill in the numbers and solve for JN

614

JN8

1414(JN) = 48

1448

JN 724

Problem Solving in Geometry with Proportions8.2

Fill in the numbers and solve for PQ

PQPQ16

64

16 - PQ

4(PQ) = 6(16 – PQ)

4(PQ) = 96 – 6(PQ)

10 PQ = 96

1096

PQ 548

Problem Solving in Geometry with Proportions8.2

Fill in the numbers and solve

Let x represent the price you paid in dollars

152.9

x450

9.52x = 450

x = 47.27

You paid $47.27 for the Jacket

Problem Solving in Geometry with Proportions8.2

Fill in the numbers and solve

Let x represent the price you paid in dollars

68.1

x30

x = 20.4

You paid $20.40 for the sweater

68.1

DollarsAmericanDollarsCanadian

Problem Solving in Geometry with Proportions8.2

Need to know the distance:

d = rt = 10(12) = 120

Let x represent the wingspan

31

120x

3x = 120

x = 40

The plane’s wingspan was 40 feet.

31

DistanceWingspan

Problem Solving in Geometry with Proportions8.2

HW #11Pg 468-471 10-28 Even, 29-31, 33, 34,

38-40, 44, 45